Artikel
A logistic approximation to the cumulative normal distribution
This paper develops a logistic approximation to the cumulative normal distribution. Although the literature contains a vast collection of approximate functions for the normal distribution, they are very complicated, not very accurate, or valid for only a limited range. This paper proposes an enhanced approximate function. When comparing the proposed function to other approximations studied in the literature, it can be observed that the proposed logistic approximation has a simpler functional form and that it gives higher accuracy, with the maximum error of less than 0.00014 for the entire range. This is, to the best of the authors' knowledge, the lowest level of error reported in the literature. The proposed logistic approximate function may be appealing to researchers, practitioners and educators given its functional simplicity and mathematical accuracy.
- Language
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Englisch
- Bibliographic citation
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Journal: Journal of Industrial Engineering and Management (JIEM) ; ISSN: 2013-0953 ; Volume: 2 ; Year: 2009 ; Issue: 1 ; Pages: 114-127 ; Barcelona: OmniaScience
- Classification
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Management
- Subject
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normal distribution
logistic
approximation
minimax criteria
- Event
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Geistige Schöpfung
- (who)
-
Bowling, Shannon R.
Khasawneh, Mohammad T.
Sittichai Kaewkuekool
Cho, Byung Rae
- Event
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Veröffentlichung
- (who)
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OmniaScience
- (where)
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Barcelona
- (when)
-
2009
- DOI
-
doi:10.3926/jiem.v2n1.p114-127
- Handle
- Last update
-
10.03.2025, 11:43 AM CET
Data provider
This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Bowling, Shannon R.
- Khasawneh, Mohammad T.
- Sittichai Kaewkuekool
- Cho, Byung Rae
- OmniaScience
Time of origin
- 2009
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